Search a number
-
+
75657973068 = 223217123624139
BaseRepresentation
bin100011001110110010…
…0010000110101001100
321020021201211020210200
41012131210100311030
52214421420114233
654431244533500
75315606105646
oct1063544206514
9236251736720
1075657973068
112a0a4a53a77
12127b5851290
1371996bc302
14393a231896
151e7c1d7313
hex119d910d4c

75657973068 has 36 divisors (see below), whose sum is σ = 202496341320. Its totient is φ = 23735834496.

The previous prime is 75657973021. The next prime is 75657973073. The reversal of 75657973068 is 86037975657.

75657973068 is a `hidden beast` number, since 7 + 56 + 579 + 7 + 3 + 0 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 75657972996 and 75657973014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61811458 + ... + 61812681.

It is an arithmetic number, because the mean of its divisors is an integer number (5624898370).

Almost surely, 275657973068 is an apocalyptic number.

It is an amenable number.

75657973068 is an abundant number, since it is smaller than the sum of its proper divisors (126838368252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75657973068 is a wasteful number, since it uses less digits than its factorization.

75657973068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123624166 (or 123624161 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 75657973068 in words is "seventy-five billion, six hundred fifty-seven million, nine hundred seventy-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 123624139 247248278 370872417 494496556 741744834 1112617251 1483489668 2101610363 2225234502 4203220726 4450469004 6304831089 8406441452 12609662178 18914493267 25219324356 37828986534 75657973068